Gaiotto duality for the twisted A2N-1 series

Gaiotto duality for the twisted A2N-1 series
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DOI:
10.1007/jhep05(2015)075
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发表时间:
2015-05-14
影响因子:
5.4
通讯作者:
Tachikawa, Yuji
Tachikawa, Yuji
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Chacaltana, Oscar;Distler, Jacques;Tachikawa, Yuji

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本文研究了黎曼曲面C上的A(2N-1)型6DN =(2,0)理论在Z(2)外自同构扭曲的穿刺下的紧化所产生的4DN = 2超共形理论.我们描述了如何根据三穿孔球体和圆柱体对这些SCFT进行完整的分类,我们明确地对A(3)进行了分类,并提供了A(9)的扭曲缺陷的属性表。我们发现黎曼曲面的非典型退化并不导致弱耦合规范群,而是导致规范耦合钉扎在模空间内部的一个点上。作为应用,我们研究:i)仿射/非仿射D-n Dynkin图形状的4D超共形箭图的6D表示,ii)SU(4)和Sp(2)规范理论的S-对偶性,以及基本物质和反对称物质的各种组合,iii)Argyres和Wittig预测的所有一阶SCFT的实现。
We study 4D N = 2 superconformal theories that arise from the compactification of 6D N = (2, 0) theories of type A(2N-1) on a Riemann surface C, in the presence of punctures twisted by a Z(2) outer automorphism. We describe how to do a complete classification of these SCFTs in terms of three-punctured spheres and cylinders, which we do explicitly for A(3), and provide tables of properties of twisted defects up through A(9). We find atypical degenerations of Riemann surfaces that do not lead to weakly-coupled gauge groups, but to a gauge coupling pinned at a point in the interior of moduli space.As applications, we study: i) 6D representations of 4D superconformal quivers in the shape of an affine/non-affine D-n Dynkin diagram, ii) S-duality of SU(4) and Sp(2) gauge theories with various combinations of fundamental and antisymmetric matter, and iii) realizations of all rank-one SCFTs predicted by Argyres and Wittig.